TY - JOUR
T1 - Controllability of networked higher-dimensional systems with one-dimensional communication
AU - Wang, Lin
AU - Wang, Xiaofan
AU - Chen, Guanrong
PY - 2017/3/6
Y1 - 2017/3/6
N2 - In this paper, the state controllability of networked higher-dimensional linear time-invariant dynamical systems is considered, where communications are performed through one-dimensional connections. The influences on the controllability of such a networked system are investigated, which come from a combination of network topology, nodesystem dynamics, external control inputs and inner interactions. Particularly, necessary and sufficient conditions are presented for the controllability of the network with a general topology, as well as for some special settings such as cycles and chains, which show that the observability of the node system is necessary in general and the controllability of the node system is necessary for chains but not necessary for cycles. Moreover, two examples are constructed to illustrate that uncontrollable node systems can be assembled to a controllable networked system, while controllable node systems may lead to uncontrollable systems even for the cycle topology.
AB - In this paper, the state controllability of networked higher-dimensional linear time-invariant dynamical systems is considered, where communications are performed through one-dimensional connections. The influences on the controllability of such a networked system are investigated, which come from a combination of network topology, nodesystem dynamics, external control inputs and inner interactions. Particularly, necessary and sufficient conditions are presented for the controllability of the network with a general topology, as well as for some special settings such as cycles and chains, which show that the observability of the node system is necessary in general and the controllability of the node system is necessary for chains but not necessary for cycles. Moreover, two examples are constructed to illustrate that uncontrollable node systems can be assembled to a controllable networked system, while controllable node systems may lead to uncontrollable systems even for the cycle topology.
KW - Controllability
KW - Directed
KW - Networked system
KW - One-dimensional communication
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85011015304&origin=recordpage
U2 - 10.1098/rsta.2016.0215
DO - 10.1098/rsta.2016.0215
M3 - RGC 21 - Publication in refereed journal
C2 - 28115612
VL - 375
JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
SN - 1364-503X
IS - 2088
M1 - 20160215
ER -